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jakelangham committed Dec 6, 2023
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Expand Up @@ -161,18 +161,19 @@ simple initial volumes of material (such as cubes and cylinders) can be
specified via an input file.

In deriving Eqs.\ \eqref{eq:governing eqs 1}--\eqref{eq:governing eqs 4}, some
physical assumptions are made that simplify our model compared to some of the
similar codes cited above, such as the neglect of interstitial pressure between
sediment particles and the assumption that the sediment is composed of particles
that are all roughly the same size. Conversely, we include the effects of
morphodynamics, which not all codes support. The reasoning for these choices is
twofold: (1) to simplify the problem for modellers wishing to conduct
simulations efficiently, without compromising the most essential flow physics and (2) in
order to focus on making some important technical advances for morphodynamic
models, which are particular to our code and detailed by @Langham:2023. These
advances include improvements to standard numerical schemes, a careful treatment of the
effects of the basal geometry and a regularisation that ensures the model is
well-posed as an initial value problem.
physical assumptions are made that reduce the complexity of our model compared
to some of the similar codes cited above, such as the neglect of interstitial
pressure between sediment particles and the assumption that the sediment is
composed of particles that are all roughly the same size. Conversely, we
include the effects of morphodynamics, which not all codes support. The
reasoning for these choices is twofold: (1) to simplify the problem for
modellers wishing to conduct simulations efficiently, without compromising the
most essential flow physics and (2) in order to focus on making some important
technical advances for morphodynamic models, which are particular to our code
and detailed by @Langham:2023. These advances include improvements to standard
numerical schemes, a careful treatment of the effects of the basal geometry and
a regularisation that ensures the model is well-posed as an initial value
problem.

Even in the most straightforward cases, morphodynamic simulations involve many
free parameters, which are not all directly measurable for real world scenarios.
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